Abstract
Intuitionistic Fuzzy Sets (IFSs) are an extension of fuzzy sets. Each element x of the IFS A has degrees of a membership (μA(x)) and of a non-membership (νA(x)) so that 0 ≤ μA(x) + νA(x) ≤ 1. The pair 〈μA(x), νA(x)〉 is called an Intuitionistic Fuzzy Pair (IFP). A lot of operations, relations and operators are defined over IFPs. In the paper, novel operations over IFPs are introduced and some of their basic properties are studied. Geometrical interpretations of these operations are given. Open problems are formulated.
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CITATION STYLE
Atanassov, K., Szmidt, E., & Kacprzyk, J. (2017). Multiplicative type of operations over intuitionistic fuzzy pairs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 10333 LNAI, pp. 201–208). Springer Verlag. https://doi.org/10.1007/978-3-319-59692-1_17
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